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Stability of small-amplitude periodic solutions near Hopf bifurcations in time-delayed fully-connected PLL networks
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We analyze the stability of small-amplitude periodic solutions near simple Hopf bifurcations for a PLL fully-connected network.

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We use the center manifold theorem and the normal form extended to delay-differential equations to achieve the analysis.

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Regions in the parameter space were obtained where local stability is guaranteed.

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Numerical simulations was used to confirm our theoretical results.

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